document.write( "Question 815237: x^2+(x+2)(x+2)=100 \n" ); document.write( "
Algebra.Com's Answer #490852 by brysca(112)![]() ![]() You can put this solution on YOUR website! This equation can be simplified into x^2+(x+2)(x+2)=100. \n" ); document.write( "So, when (x+2)(x+2) is simplified through foil, this becomes x^2+4x+4 \n" ); document.write( "The new equation is x^2+x^2+4x+4=100 \n" ); document.write( "Combine like terms \n" ); document.write( "2x^2+4x+4=100 \n" ); document.write( "Move 100 to the left side in order to make it a solvable quadratic equation. \n" ); document.write( "2x^2+4x-96=0 \n" ); document.write( "This simplifies to \n" ); document.write( "(2x-16)(x-6)=0 \n" ); document.write( "Now, to find both values of x, the factors should be set to zero. \n" ); document.write( "2x-16=0 \n" ); document.write( "2x=16 \n" ); document.write( "x=8\r \n" ); document.write( "\n" ); document.write( "x-6=0 \n" ); document.write( "x=6\r \n" ); document.write( "\n" ); document.write( "With the following values, the final answer is x= 8 or 6\r \n" ); document.write( "\n" ); document.write( "I did not show work while factoring, but I used the Berry Method. Information about the Berry Method can be found here: http://youtu.be/R3PFOPZJP5o?t=1m39s. \n" ); document.write( "-Bryan \n" ); document.write( " |